The key to cryptographic algorythms, (RSA, etc) is that it's VERY difficult to factor large numbers. It would take modern computers several years to factor even one of these numbers using brute force... and that's 1024 bit encryption. I think we're starting to go to 2048 bit encryption.
If you could find a way to factor these numbers quickly, you would nullify modern day cryptography. It won't matter how many capital letters and numbers you use in your passwords.
If you're interested: